# Statistics Examples

,

Step 1

Step 1.1

The slope-intercept form is , where is the slope and is the y-intercept.

Step 1.2

Using the slope-intercept form, the slope is .

Step 2

The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.

Step 3

Step 3.1

Cancel the common factor of .

Step 3.1.1

Cancel the common factor.

Step 3.1.2

Rewrite the expression.

Step 3.2

Multiply by .

Step 4

Step 4.1

Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .

Step 4.2

Simplify the equation and keep it in point-slope form.

Step 5

Step 5.1

Simplify .

Step 5.1.1

Rewrite.

Step 5.1.2

Simplify by adding zeros.

Step 5.1.3

Apply the distributive property.

Step 5.1.4

Simplify the expression.

Step 5.1.4.1

Rewrite as .

Step 5.1.4.2

Multiply by .

Step 5.2

Move all terms not containing to the right side of the equation.

Step 5.2.1

Add to both sides of the equation.

Step 5.2.2

Add and .

Step 6